Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions

DOI10.5937/MatMor1901107AzbMath1488.34418MaRDI QIDQ4990696

Saïd Abbas, Johnny Henderson, Samira Hamani, Mouffak Benchohra

Publication date: 31 May 2021

Published in: Mathematica Moravica (Search for Journal in Brave)

zbMATH Keywords

fixed pointboundary conditionlower solutionupper solutionfractional differential inclusionCaputo-Hadamard fractional derivative

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Related Items (6)

Unnamed Item ⋮ Oscillation and nonoscillation results for the Caputo fractional \(q\)-difference equations and inclusions ⋮ On coupled systems of fractional impulsive differential equations by using a new Caputo-Fabrizio fractional derivative ⋮ Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions ⋮ ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION ⋮ A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Cites Work

• Caputo-type modification of the Hadamard fractional derivatives
• Topics in fractional differential equations
• The method of upper and lower solutions and impulsive fractional differential inclusions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Extended Riemann-Liouville type fractional derivative operator with applications
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach
• Certain fractional kinetic equations involving generalized \(k\)-Bessel function
• Implicit Fractional Differential and Integral Equations
• On a New Extension of Caputo Fractional Derivative Operator
• Some inequalities involving Hadamard‐type k‐fractional integral operators
• The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses
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